[noun] + とは比べものにならない [verb (plain)] + の + とは比べものにならない [noun] + とは比べものにならない + ほど / くらい + [i-adj]
A は B とは比べものにならない says that A is so far beyond B that the two can't be put side by side: "there's no comparison". B is a noun, or a verb made into a noun with の.
A is the one that has far more of the quality in question. English "A can't compare with B" says the opposite – that A is the weaker one – so read the Japanese the other way round from the English.
Add ほど or くらい and an adjective to say which way the gap goes. Without one, the context decides – usually "better" or "bigger", but not always.
The phrase is everyday Japanese, at home in conversation as well as in writing. The polite form is くらべもの比べものになりません.